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Bingham Number Formula

GoBingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder Formula

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Bingham Number, abbreviated as Bn, is a dimensionless quantity. Check FAQs

B n = \frac{S sy \cdot L c}{μ a \cdot v}

B_n - Bingham Number?S_sy - Shear Yield Strength?L_c - Characteristic Length?μ_a - Absolute Viscosity?v - Velocity?

Bingham Number Example

With values

With units

Only example

Here is how the Bingham Number equation looks like with Values.

Here is how the Bingham Number equation looks like with Units.

Here is how the Bingham Number equation looks like.

7.0125 = \frac{4.25 \cdot 9.9}{0.1 \cdot 60}

7.0125 = \frac{4.25N/m² \cdot 9.9m}{0.1Pa*s \cdot 60m/s}

7.0125 = \frac{4.25 \cdot 9.9}{0.1 \cdot 60}

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Bingham Number Solution

Follow our step by step solution on how to calculate Bingham Number?

FIRST Step Consider the formula

B n = \frac{S sy \cdot L c}{μ a \cdot v}

Next Step Substitute values of Variables

∴

B n = \frac{4.25N/m² \cdot 9.9m}{0.1Pa*s \cdot 60m/s}

Next Step Convert Units

∴

B n = \frac{4.25Pa \cdot 9.9m}{0.1Pa*s \cdot 60m/s}

Next Step Prepare to Evaluate

∴

B n = \frac{4.25 \cdot 9.9}{0.1 \cdot 60}

LAST Step Evaluate

∴

B n = 7.0125

Bingham Number Formula Elements

Variables

Bingham Number

Bingham Number, abbreviated as Bn, is a dimensionless quantity.

Symbol: B_n

Measurement: NAUnit: Unitless

Note: Value should be less than 101.

Formulas to find Bingham Number

Shear Yield Strength

Shear Yield Strength is the strength of a material or component against the type of yield or structural failure when the material or component fails in shear.

Symbol: S_sy

Measurement: PressureUnit: N/m²

Note: Value should be greater than 0.

Formulas to find Shear Yield Strength

Characteristic Length

A characteristic Length is usually the volume of a system divided by its surface.

Symbol: L_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Characteristic Length

Absolute Viscosity

Absolute Viscosity is the measurement of the fluid's internal resistance to flow.

Symbol: μ_a

Measurement: Dynamic ViscosityUnit: Pa*s

Note: Value can be positive or negative.

Formulas to find Absolute Viscosity

Velocity

Velocity is a vector quantity (it has both magnitude and direction) and is the rate of change of the position of an object with respect to time.

Symbol: v

Measurement: SpeedUnit: m/s

Note: Value can be positive or negative.

Formulas to find Velocity

Other Formulas to find Bingham Number

Go Bingham Number of Plastic Fluids from Isothermal Semi-circular Cylinder

B n = (\frac{ζ o}{μ B}) \cdot {((\frac{D 1}{g \cdot β \cdot ∆T}))}^{0.5}

Other formulas in Rayleigh and Reynolds Number category

Go Rayleigh number based on turbulence for annular space between concentric cylinders

Ra c = (\frac{({(\ln (\frac{d o}{d i}))}^{4}) \cdot (Ra l)}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}})

Go Rayleigh number based on length for annular space between concentric cylinders

Ra l = \frac{Ra c}{\frac{({(\ln (\frac{d o}{d i}))}^{4})}{(L^{3}) \cdot {(({d i}^{- 0.6}) + ({d o}^{- 0.6}))}^{5}}}

Go Rayleigh number based on turbulence for concentric spheres

Ra c = {(\frac{L \cdot Ra l}{({(D i \cdot D o)}^{4}) \cdot ({(({D i}^{- 1.4}) + ({D o}^{- 1.4}))}^{5})})}^{0.25}

Go Reynolds Number given Graetz Number

Re L = Gr \cdot \frac{L}{Pr \cdot D}

How to Evaluate Bingham Number?

Bingham Number evaluator uses Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity) to evaluate the Bingham Number, The Bingham Number formula is defined as the ratio of yield stress to viscous stress. Bingham Number is denoted by B_n symbol.

How to evaluate Bingham Number using this online evaluator? To use this online evaluator for Bingham Number, enter Shear Yield Strength (S_sy), Characteristic Length (L_c), Absolute Viscosity (μ_a) & Velocity (v) and hit the calculate button.

FAQs on Bingham Number

What is the formula to find Bingham Number?

The formula of Bingham Number is expressed as Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity). Here is an example- 7.0125 = (4.25*9.9)/(0.1*60).

How to calculate Bingham Number?

With Shear Yield Strength (S_sy), Characteristic Length (L_c), Absolute Viscosity (μ_a) & Velocity (v) we can find Bingham Number using the formula - Bingham Number = (Shear Yield Strength*Characteristic Length)/(Absolute Viscosity*Velocity).

What are the other ways to Calculate Bingham Number?

Here are the different ways to Calculate Bingham Number-

Bingham Number=(Fluid Yield Stress/Plastic Viscosity)*((Diameter of Cylinder 1/(Acceleration due to Gravity*Coefficient of Volumetric Expansion*Change in Temperature)))^(0.5)

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